Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
170701	Solve for θ	(tan(theta)-1)(cos(theta)+1)=0	$(\tan (θ) - 1) (\cos (θ) + 1) = 0$
170702	Solve the System of Inequalities	y>-2 x+y<=4	$y > - 2$ $x + y \leq 4$
170703	Simplify	(-2x)/(x^2-x-6)-4/(x^2-5x+6)	$\frac{- 2 x}{x^{2} - x - 6} - \frac{4}{x^{2} - 5 x + 6}$
170704	Simplify	sec(x)csc(x)(1-sin(x)^2)	$\sec (x) \csc (x) (1 - \sin^{2} (x))$
170705	Simplify	(x^-6)/(x*x^-2)	$\frac{x^{- 6}}{x \cdot x^{- 2}}$
170706	Evaluate	2*2/5	$2 \cdot \frac{2}{5}$
170707	Simplify	-(70n^2)/(28n)	$- \frac{70 n^{2}}{28 n}$
170708	Solve the Absolute Value Inequality for x	\|x-3\|=0	$\| x - 3 \| = 0$
170709	Solve for t	-4/3t+1/2=3/2-2t+5/3t	$- \frac{4}{3} t + \frac{1}{2} = \frac{3}{2} - 2 t + \frac{5}{3} t$
170710	Simplify	(7 square root of -16)( square root of -81)	$(7 \sqrt{- 16}) (\sqrt{- 81})$
170711	Evaluate	e^x=5	$e^{x} = 5$
170712	Solve for x	(3(5-3x))/-4=-15	$\frac{3 (5 - 3 x)}{- 4} = - 15$
170713	Find the LCM	x^2-7x+6 and x^2-1	$x^{2} - 7 x + 6$ and $x^{2} - 1$
170714	Solve the Inequality for f	c=5/9(f-32)	$c = \frac{5}{9} (f - 32)$
170715	Simplify	a+3a-4(9-a)	$a + 3 a - 4 (9 - a)$
170716	Graph	-f(x)+3	$- f (x) + 3$
170717	Solve for y	-1/2=-1/9y-1/6	$- \frac{1}{2} = - \frac{1}{9} y - \frac{1}{6}$
170718	Solve for x	9/(4x)+1/3=5/(2x)	$\frac{9}{4 x} + \frac{1}{3} = \frac{5}{2 x}$
170719	Solve the Inequality for x	-3(x-3)>5-5x	$- 3 (x - 3) > 5 - 5 x$
170720	Solve for w	-12=-9w	$- 12 = - 9 w$
170721	Solve the Inequality for v	5(v+3)-10v>-10	$5 (v + 3) - 10 v > - 10$
170722	Write in Exponential Form	log base (x-4) of 4=3/2	$\log_{(x - 4)} (4) = \frac{3}{2}$
170723	Solve for x	1+2x-x=x-5+x	$1 + 2 x - x = x - 5 + x$
170724	Solve for a	9=\|a/4\|	$9 = \| \frac{a}{4} \|$
170725	Simplify	27 cube root of (x^3)/27	$27 \sqrt[3]{\frac{x^{3}}{27}}$
170726	Solve for q	-10/(q-2)-7/(q+4)=1	$\frac{- 10}{q - 2} - \frac{7}{q + 4} = 1$
170727	Write in Exponential Form	log base (x-2) of 5x+7=2	$\log_{(x - 2)} (5 x + 7) = 2$
170728	Multiply	5*(-1/5)	$5 \cdot (- \frac{1}{5})$
170729	Simplify	(y^10)/(2x^3)*(20x^14)/(xy^6)	$\frac{y^{10}}{2 x^{3}} \cdot \frac{20 x^{14}}{x y^{6}}$
170730	Solve for b	\|b/11\|=4	$\| \frac{b}{11} \| = 4$
170731	Simplify	(2-yi)^2	${(2 - y i)}^{2}$
170732	Find the Quotient	(x^3-3x^2+5x-3)÷(x-1)	$(x^{3} - 3 x^{2} + 5 x - 3) \div (x - 1)$
170733	Evaluate	2/4(1+2)	$\frac{2}{4} (1 + 2)$
170734	Graph	4y+3<=y+6	$4 y + 3 \leq y + 6$
170735	Solve for x	2/7(x-2)=4x	$\frac{2}{7} (x - 2) = 4 x$
170736	Solve for y	-2/3y+1/2=3/4y-1/5	$- \frac{2}{3} y + \frac{1}{2} = \frac{3}{4} y - \frac{1}{5}$
170737	Simplify	(2/3+2/3i)^2	${(\frac{2}{3} + \frac{2}{3} i)}^{2}$
170738	Solve the System of Inequalities	4x+4>-32 or 16>4x+4	$4 x + 4 > - 32$ or $16 > 4 x + 4$
170739	Solve the Inequality for x	x+1<6	$x + 1 < 6$
170740	Multiply	(3-c^2d)(4-4c^2d)	$(3 - c^{2} d) (4 - 4 c^{2} d)$
170741	Solve by Substitution	y=2x^2-3x-1 y=x-3	$y = 2 x^{2} - 3 x - 1$ $y = x - 3$
170742	Solve the Inequality for x	10/(7-x)>=x	$\frac{10}{7 - x} \geq x$
170743	Find the LCM	12 and 18	$12$ and $18$
170744	Solve for k	k^4-100k^2=0	$k^{4} - 100 k^{2} = 0$
170745	Solve for t	2 2/5t=9/10	$2 \frac{2}{5} t = \frac{9}{10}$
170746	Combine Like Terms	-6x-3+3x+8y+9-2y	$- 6 x - 3 + 3 x + 8 y + 9 - 2 y$
170747	Simplify the Radical Expression	2/( square root of 2)	$\frac{2}{\sqrt{2}}$
170748	Simplify	square root of 3(-5 square root of 10+ square root of 6)	$\sqrt{3} (- 5 \sqrt{10} + \sqrt{6})$
170749	Simplify	2x-(2x+3)^2+4(x-1)+x^3	$2 x - {(2 x + 3)}^{2} + 4 (x - 1) + x^{3}$
170750	Simplify	(x^2+x-6)/(x^2-4)	$\frac{x^{2} + x - 6}{x^{2} - 4}$
170751	Simplify	(1+csc(t))/(1+sin(t))	$\frac{1 + \csc (t)}{1 + \sin (t)}$
170752	Solve the Inequality for x	x^2>=1	$x^{2} \geq 1$
170753	Solve for x	\|x\|=-x	$\| x \| = - x$
170754	Simplify	(-20w^7)/(-4(w^-5)^3)	$\frac{- 20 w^{7}}{- 4 {(w^{- 5})}^{3}}$
170755	Evaluate	-2/(2(1))	$\frac{- 2}{2 (1)}$
170756	Simplify	2/5(d-10)-2/3(d+6)	$\frac{2}{5} (d - 10) - \frac{2}{3} (d + 6)$
170757	Graph	f(x)=1/2\|x\|-9	$f (x) = \frac{1}{2} \| x \| - 9$
170758	Solve for x	2/3(6x-3)=1/2(6x-4)	$\frac{2}{3} (6 x - 3) = \frac{1}{2} (6 x - 4)$
170759	Simplify	(8b^2)/(4ab)	$\frac{8 b^{2}}{4 a b}$
170760	Graph	-2(x+6)>-4x	$- 2 (x + 6) > - 4 x$
170761	Graph	x<=1/3	$x \leq \frac{1}{3}$
170762	Find the Quotient	(3x^4+6x^3+2x^2+9x+10)÷(x+2)	$(3 x^{4} + 6 x^{3} + 2 x^{2} + 9 x + 10) \div (x + 2)$
170763	Multiply	3/4*1/2	$\frac{3}{4} \cdot \frac{1}{2}$
170764	Find the Distance Between Two Points	(-3,-4) and (4,3)	$(- 3, - 4)$ and $(4, 3)$
170765	Simplify	(7n)/(3n-18)+(n+3)/3	$\frac{7 n}{3 n - 18} + \frac{n + 3}{3}$
170766	Solve for x	x-10 = square root of 9x	$x - 10 = \sqrt{9 x}$
170767	Simplify	9xy^2*9x^5y^2	$9 x y^{2} \cdot 9 x^{5} y^{2}$
170768	Solve for y	3(-y+7)=3(y+5)+6	$3 (- y + 7) = 3 (y + 5) + 6$
170769	Solve for x	square root of 6+x-x^2=9	$\sqrt{6 + x - x^{2}} = 9$
170770	Factor	9x^4yz^2+33z^4	$9 x^{4} y z^{2} + 33 z^{4}$
170771	Graph	y=x^(-1/3)	$y = x^{- \frac{1}{3}}$
170772	Solve by Substitution	-5x+2y=-42 6x=y	$- 5 x + 2 y = - 42$ $6 x = y$
170773	Find the Quotient	(x^5+x^3-1)÷(x-4)	$(x^{5} + x^{3} - 1) \div (x - 4)$
170774	Simplify	5x^2-x(5x-3x(x-8)-11)+3	$5 x^{2} - x (5 x - 3 x (x - 8) - 11) + 3$
170775	Divide	7 1/2÷1 1/2	$7 \frac{1}{2} \div 1 \frac{1}{2}$
170776	Solve for W	P=W/t	$P = \frac{W}{t}$
170777	Factor	(a^2+1)-b(a^2+1)	$(a^{2} + 1) - b (a^{2} + 1)$
170778	Solve for a	(a+b)^2=a^2+2ab+b^2	${(a + b)}^{2} = a^{2} + 2 a b + b^{2}$
170779	Solve for x	square root of 2x+6+5=x+4	$\sqrt{2 x + 6} + 5 = x + 4$
170780	Multiply	(y^2-9)/(-2y)*(-5y)/(y+3)	$\frac{y^{2} - 9}{- 2 y} \cdot \frac{- 5 y}{y + 3}$
170781	Solve the System of Equations	y=x-3 y=2x	$y = x - 3$ $y = 2 x$
170782	Simplify	x^2*3x	$x^{2} \cdot 3 x$
170783	Solve the Inequality for x	x^2>1	$x^{2} > 1$
170784	Solve the Rational Equation for x	square root of x+7=x-5	$\sqrt{x + 7} = x - 5$
170785	Solve for x	4(1/2)^(x-1)=5x+2	$4 {(\frac{1}{2})}^{x - 1} = 5 x + 2$
170786	Solve for x	10(2x-4)+5=2x-8	$10 (2 x - 4) + 5 = 2 x - 8$
170787	Solve the Inequality for x	2/5>=x-4/5	$\frac{2}{5} \geq x - \frac{4}{5}$
170788	Find All Complex Solutions	cos(2x)-sin(x)=0	$\cos (2 x) - \sin (x) = 0$
170789	Solve for b	-1/2-1/2b=6/7	$- \frac{1}{2} - \frac{1}{2} b = \frac{6}{7}$
170790	Evaluate Using the Given Value	ab-0.5b when a=1 and b=5	$a b - 0.5 b$ when $a = 1$ and $b = 5$
170791	Solve for x	\|x+15\|>-8	$\| x + 15 \| > - 8$
170792	Simplify	(x^-5y^4y^7)/(x^-5)	$\frac{x^{- 5} y^{4} y^{7}}{x^{- 5}}$
170793	Simplify	(-5t^5)/((5t^-5)^2)	$\frac{- 5 t^{5}}{{(5 t^{- 5})}^{2}}$
170794	Simplify	-1/2-1	$- \frac{1}{2} - 1$
170795	Solve for t	-3t>=39	$- 3 t \geq 39$
170796	Solve the Inequality for x	8-2x<=-x+9	$8 - 2 x \leq - x + 9$
170797	Simplify	1+3^2*2-5	$1 + 3^{2} \cdot 2 - 5$
170798	Graph Using a Table of Values	f(x)=1/(x-3)	$f (x) = \frac{1}{x - 3}$
170799	Solve for x	x+x+x=3x	$x + x + x = 3 x$
170800	Solve for x	32^(3x^2)=4^(11x+24)	$32^{3 x^{2}} = 4^{11 x + 24}$